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Finding the Fourth Proportional to 22,970.81, 34,455.80 and 13,089.02

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Solution

The fourth proportional to 22,970.81, 34,455.80 and 13,089.02 is: 19,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.81 : 34,455.80 = 13,089.02 : x
  2. Step 2: Convert to fraction form
    22,970.81/34,455.80 = 13,089.02/x
  3. Step 3: Cross multiply
    22,970.81x = 34,455.80 × 13,089.02
  4. Step 4: Simplify right side
    22,970.81x = 450,992,417.59
  5. Step 5: Solve for x
    x = 450,992,417.59/22,970.81
  6. Step 6: Final answer
    x = 19,633.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.